Higher order optimality conditions with an arbitrary non-differentiable function

DOI10.1080/02331934.2016.1208195zbMath1352.90103arXiv1511.09438OpenAlexW2261199457MaRDI QIDQ2836081

Vsevolod I. Ivanov

Publication date: 7 December 2016

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.09438

zbMATH Keywords

necessary and sufficient conditions for optimalitygeneralized convex functionsnon-smooth optimizationhigher order directional derivatives of Hadamard typehigher order subdifferentials

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Continuity and differentiation questions (26B05) Convexity of real functions of several variables, generalizations (26B25) Optimality conditions for free problems in two or more independent variables (49K10)

Related Items (5)

Higher-order efficiency conditions for constrained vector equilibrium problems ⋮ Higher-order efficiency conditions for continuously directional differentiable vector equilibrium problem with constraints ⋮ Higher-order Karush–Kuhn–Tucker optimality conditions for Borwein properly efficient solutions of multiobjective semi-infinite programming ⋮ Isolated efficiency in nonsmooth semi-infinite multi-objective programming ⋮ Necessary conditions for weak minima and for strict minima of order two in nonsmooth constrained multiobjective optimization

Cites Work

• Second-order optimality conditions with arbitrary nondifferentiable function in scalar and vector optimization
• Technical note: Directional derivatives in nonsmooth optimization
• Generalized Hessian matrix and second-order optimality conditions for problems with \(C^{1,1}\) data
• From scalar to vector optimization.
• Second-order necessary conditions in semismooth optimization
• On sufficiency of the Kuhn-Tucker conditions
• Higher-order necessary conditions for infinite and semi-infinite optimization
• Higher order necessary conditions in abstract mathematical programming
• Characterizations of strict local minima and necessary conditions for weak sharp minima
• Second-order necessary and sufficient conditions in nonsmooth optimization
• On second-order conditions in unconstrained optimization
• Higher order invex functions and higher order pseudoinvex ones
• A Generalized Second-Order Derivative in Nonsmooth Optimization
• Stability in Mathematical Programming with Nondifferentiable Data
• Second-Order Optimality Conditions in Nonlinear Programming Obtained by Way of Epi-Derivatives
• Necessary and Sufficient Conditions for Isolated Local Minima of Nonsmooth Functions
• Second-Order Necessary Conditions in Constrained Semismooth Optimization
• Approximate Jacobian Matrices for Nonsmooth Continuous Maps and C¹-Optimization
• On relations and applications of generalized second-order directional derivatives
• On Generalized Second-Order Derivatives and Taylor Expansions in Nonsmooth Optimization
• Generalized second-order directional derivatives and optimization with C^1,1 functions
• Elimination of Strict Convergence in Optimization
• Variational Analysis and Generalized Differentiation I
• Higher order optimality conditions for inequality-constrained problems
• Conditions for an extremum in metric spaces

This page was built for publication: Higher order optimality conditions with an arbitrary non-differentiable function